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20764608 = 263831303
BaseRepresentation
bin100111100110…
…1011111000000
31110001221200120
41033031133000
520303431413
62021020240
7341332134
oct117153700
943057616
1020764608
11107a2837
126b54680
1343c0467
142a873c4
151c52723
hex13cd7c0

20764608 has 56 divisors (see below), whose sum is σ = 55644288. Its totient is φ = 6832896.

The previous prime is 20764591. The next prime is 20764619. The reversal of 20764608 is 80646702.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15285 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (993648).

Almost surely, 220764608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822144).

20764608 is an abundant number, since it is smaller than the sum of its proper divisors (34879680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20764608 is a wasteful number, since it uses less digits than its factorization.

20764608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 20764608 is about 4556.8199437766. The cubic root of 20764608 is about 274.8577026902.

The spelling of 20764608 in words is "twenty million, seven hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1303 1328 1992 2606 2656 3909 3984 5212 5312 7818 7968 10424 15636 15936 20848 31272 41696 62544 83392 108149 125088 216298 250176 324447 432596 648894 865192 1297788 1730384 2595576 3460768 5191152 6921536 10382304 20764608